1.

If nC2 =10 what is the value of nP2​

Answer»

ANSWER:

Step-by-step explanation:

LET the PRESENT ages be :

Liya = x

Raja = 2x

Ages 5 years ago :

Liya = (x - 5)

Raja = (2x - 5)

According to the QUESTION,

Five years ago Raja's age was three times Liya's age

\sf{\longrightarrow} \: (2x - 5) = 3(x - 5)⟶(2x−5)=3(x−5)

\sf{\longrightarrow} \:2x - 5 = 3x - 15⟶2x−5=3x−15

\sf{\longrightarrow} \:2x - 3x = - 15 + 5⟶2x−3x=−15+5

\sf{\longrightarrow} \:x = 10⟶x=10

Liya's present age = 10 years

___________________

★ Raja's present age =

\sf{\longrightarrow} \:2(10)⟶2(10)

\sf{\longrightarrow} \:20⟶20

Raja's present age = 20 years

Therefore, Raja and Liya are 20 and 10 years old RESPECTIVELY.



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